Finding the Fourth Proportional to 1,464.10, 2,020.37 and 800.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.10 : 2,020.37 = 800.82 : x
2. Step 2: Convert to fraction form
   1,464.10/2,020.37 = 800.82/x
3. Step 3: Cross multiply
   1,464.10x = 2,020.37 × 800.82
4. Step 4: Simplify right side
   1,464.10x = 1,617,948.70
5. Step 5: Solve for x
   x = 1,617,948.70/1,464.10
6. Step 6: Final answer
   x = 1,105.08